Fundamental Theorem of Algebra
Guarantees polynomial equations solvable in complex numbers.
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Fundamental Theorem of Arithmetic
Every integer has unique prime factorization. Number theory cornerstone.
Fundamental Theorem of Calculus
Connects differential and integral calculus. Enables calculation of areas and rates.
Cayley-Hamilton Theorem
Matrix algebra fundamental result. Computing matrix powers.
Stokes' Theorem
Generalizes fundamental theorem of calculus. Differential forms.
Euler's Identity
Most beautiful equation. Connects five fundamental constants.
De Moivre's Theorem
Powers of complex numbers. Trigonometry and complex analysis.
Hilbert's Basis Theorem
Commutative algebra cornerstone. Ascending chain condition.
Liouville's Theorem
Complex analysis fundamental. No non-constant bounded entire functions.
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Discover connections across different types of entities
CPT Theorem
Fundamental symmetry of nature. Antimatter and time reversal.
Schrödinger Equation
Fundamental equation of quantum mechanics. Predicts probability distributions.
Descartes' foundational statement of existence through thought
Descartes' foundational statement of existence through thought
Rationalism
Epistemological view that reason is primary source of knowledge, independent of experience. Rationalists like Descartes, …
The Fold
Leibnizian-Deleuzian concept of infinite folding as nature's operation. Matter folds infinitely inward; soul unfolds infinitely …
Ampère's Law
Part of Maxwell's equations. Relates current to magnetic field.
Noether's Theorem
Time symmetry gives energy conservation. Space symmetry gives momentum conservation.
Conservation of Energy
Most fundamental law. Energy transforms between forms but never disappears.
All's Well That Ends Well on complexity
All's Well That Ends Well on complexity